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Finding the Third Proportional to 578,368 and 864,144

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Solution

The third proportional to 578,368 and 864,144 is: 1,291,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,368 : 864,144 = 864,144 : x
  2. Step 2: Convert to fraction form
    578,368/864,144 = 864,144/x
  3. Step 3: Cross multiply
    578,368x = 864,144 × 864,144
  4. Step 4: Simplify right side
    578,368x = 746,744,852,736
  5. Step 5: Solve for x
    x = 746,744,852,736/578,368
  6. Step 6: Final answer
    x = 1,291,124.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.